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  • 标题:AN ELEMENTARY PROOF OF FISHER-COCHRAN THEOREM USING A GEOMETRICAL APPROACH
  • 本地全文:下载
  • 作者:Lucas Monteiro CHAVES ; Devanil Jaques de SOUZA
  • 期刊名称:Revista Brasileira de Biometria
  • 印刷版ISSN:0102-0811
  • 电子版ISSN:1983-0823
  • 出版年度:2019
  • 卷号:37
  • 期号:3
  • 页码:372-377
  • DOI:10.28951/rbb.v37i3.405
  • 出版社:Universidade Federal de Lavras
  • 摘要:The classical Fisher-Cochran theorem is a fundamental result in many areas of statistics as analysis of variance and hypothesis tests. In general this theorem is proved with linear algebraic arguments. An elementary proof is present, based strongly on geometrical concepts as linear subspaces and orthogonal projections, which may improve our intuition about the result.
  • 关键词:Chi-squared distribution; quadratic forms; orthogonal projections.
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